The length of a rectangle is five times it’s with if the perimeter of the rectangle is 84 m find its length and width

Lily sells loose tea for $0. 71 per gram. If one gram is equivalent to 0. 035273 ounces, how much does it cost to buy 0. 45 poun

Dominik [7]

Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.

<h3>What is Units conversion?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,

Pounds to Ounces

$\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces$

Grams to Ounces

$\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams$

Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,

$\rm Total\ cost= 204.12 \times \$0.71 = \$144.93$

Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.

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3 0

1 year ago

It took sandy two hours to jog 13 miles. She ran 7 1/2 miles in one hour. How far did she run during the second hour

Zarrin [17]

Sandy ran 5 ½ during the second hour.

Total amount Sandy used to jog for 2 hours = 13 miles
Amount Sandy used to run in the 1st hour = 7 ½

<h2>Further Explanation</h2>

Therefore the amount Sandy used to run in the 2nd hour = Total amount Sandy used to jog for 2 hours – Amount Sandy used to run in the 1st hour

= 13 – 7 ½ (and can be expressed as 7 + ½)

= 13 – (7 + ½)

= 13 – 7 – ½

= 6 – ½ (otherwise expressed as 6/1 – 1/2)

= (6 x 2) – (1 x 1) / 2

= (12) – (1) / 2

= 12 – 1 / 2

= 11/2

= 5 ½

Hence, Sandy ran 5 ½ miles during the second hour.

Based on the above expression, it is observed that there is an element of fractions in the math problem. Also, BODMAS was clearly used to derive the solution to the given question.

Recall, 13 – (7 + ½). The mathematical signs, (–) and (+) were multiplied; one of mathematics rule states that – x + = –; thus 13 – 7 – ½

Notably, fractions deal with denominators and numerators; and in these questions, with the help of BODMAS, they (6/1 – 1/2) were used to factor each other out to derive the final answer 5 ½.

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